10029221 has 2 divisors, whose sum is σ = 10029222. Its totient is φ = 10029220.

The previous prime is 10029203. The next prime is 10029223. The reversal of 10029221 is 12292001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8916196 + 1113025 = 2986^2 + 1055^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10029221 is a prime.

It is a Sophie Germain prime.

Together with 10029223, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10029221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10029223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5014610 + 5014611.

It is an arithmetic number, because the mean of its divisors is an integer number (5014611).

Almost surely, 2^10029221 is an apocalyptic number.

It is an amenable number.

10029221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10029221 is an equidigital number, since it uses as much as digits as its factorization.

10029221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 10029221 is about 3166.8945356611. The cubic root of 10029221 is about 215.6531140546.

The spelling of 10029221 in words is "ten million, twenty-nine thousand, two hundred twenty-one".